arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.02750cond-mat.softcond-mat.stat-mech
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涨落对非均匀混合物中关联函数的影响

Effects of fluctuations on correlation functions in inhomogeneous mixtures

A. Ciach, O. Patsahan, A. Meyra

摘要:

在介观理论的框架下导出了二元非均匀混合物中关联函数的近似表达式[Ciach A.,摩尔物理、2011,{ \textbf{109} },1101]。在Brazovskii型近似中考虑了波动贡献。两个模型系统得到明确的结果。在这两个模型中,颗粒硬核的直径是相等的,相互作用有利于交替物种A和B的周期性排列。然而,在两个模型中,物种A和B之间的最佳距离有很大的不同。将不同温度和体积分数下的理论计算结果与蒙特卡罗模拟的结果进行了比较,并用模拟快照说明了结构。尽管相互作用势不同,局域有序的长度尺度不同,但两个模型中的关联函数的性质非常相似。

英文摘要:

Approximate expressions for correlation functions in binary inhomogeneous mixtures are derived in a framework of the mesoscopic theory [Ciach A., Mol. Phys., 2011, {\textbf{109}}, 1101]. Fluctuation contribution is taken into account in a Brazovskii-type approximation. Explicit results are obtained for two model systems. In the two models, the diameters of the hard cores of particles are equal, and the interactions favour a periodic arrangement of alternating species A and B. However, the optimal distance between the species A and B is much different in the two models. Theoretical results for different temperature and volume fractions of the two components are compared with the results of Monte Carlo simulations, and the structure is illustrated by simulation snapshots. Despite different interaction potentials and different length scale of the local ordering, properties of the correlation functions in the two models are very similar.

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